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| 求解大规模非线性方程组的一种无导数共轭梯度法 | |
| 引用本文： | 程万友,安小敏,邹占勇. 求解大规模非线性方程组的一种无导数共轭梯度法[J]. 东莞理工学院学报, 2009, 16(3): 59-61 |
| 作者姓名： | 程万友 安小敏 邹占勇 |
| 作者单位： | 1. 东莞理工学院,计算机学院,广东东莞,523808 2. 湖南大学,数学与计量经济学院,湖南长沙,410082 3. 广东商学院,数学与计算科学学院,广州,510320 |
| 摘 要： | 提出求解大规模非线性方程组的一种无导数共轭梯度法．算法的优点是计算中完全不需要用到方程组的雅可比矩阵．在适当的条件下，证明算法具有全局收敛性． |
| 关 键 词： | 无导数算法 共轭梯度法 全局收敛性 |
A Derivative-free Conjugate Gradient Method for Large-scale Nonlinear Systems of Equations |
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| CHENG Wan-you,AN Xiao-min,ZOU Zhan-yong. A Derivative-free Conjugate Gradient Method for Large-scale Nonlinear Systems of Equations[J]. Journal of Dongguan Institute of Technology, 2009, 16(3): 59-61 | |
| Authors: | CHENG Wan-you AN Xiao-min ZOU Zhan-yong |
| Affiliation: | CHENG Wan-you AN Xiao-min ZOU Zhan-yong (1.Computer College,Dongguan University of Technology,Dongguan 523808,China,2.College of Mathematics , Econometrics,Hunan University,Changsha 410082,3.School of Mathematics , Computational Science,Guangdong University of Business Studies,Guangzhou 510320,China) |
| Abstract: | In this paper,we propose a derivative-free conjugate gradient methods for large-scale nonlinear systems of equations.An attractive feature of the algorithm is that the Jacobian of the systems of equations is totally unused.Under appropriate conditions,the global convergence of the proposed method is established. |
| Keywords: | conjugate gradient method derivative-free method global convergence |
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